Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	299×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`fma-neg` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 13

Calls

3 calls:

4.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series113.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
54.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify115.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	110	78
1	255	78
2	616	78
3	1657	75
4	4622	75
5	5001	75

prune45.0ms

Filtered

22 candidates to 13 candidates (59.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	20	4	24

Merged error: 0.1b

Counts

24 → 4

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify118.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	62	23
1	167	23
2	455	22
3	1262	20
4	2418	20
5	4372	20
6	5001	20

prune15.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	4	4	8

Merged error: 0.1b

Counts

8 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- y x))
0.0b	(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
0.3b	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`*-commutative`
4×	`frac-times` `associate-+l+` `fma-def` `associate-l`
2×	`associate-*l/`
1×	`+-commutative` `flip3-+` `fma-neg` `flip-+` `div-inv`

Counts

4 → 38

Calls

4 calls:

4.0ms	(- (/ 2.0 3.0) z)
3.0ms	(* 6.0 (- y x))
9.0ms	(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
7.0ms	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* 6.0 (- y x))
63.0ms	(+ (* (* 6.0 (- y x)) (- (/ 2.0 3.0) z)) x)
43.0ms	(* (* 6.0 (- y x)) (- (/ 2.0 3.0) z))

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	279
1	1103	277
2	5001	277

prune108.0ms

Filtered

50 candidates to 33 candidates (66.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.2b	(fma 6.0 (* (- y x) (- (/ 2.0 3.0) z)) x)
0.3b	(* (- y x) (- (/ 2.0 3.0) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`flip3--` `flip--`
4×	`frac-times`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`fma-neg` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 19

Calls

3 calls:

3.0ms	(- (/ 2.0 3.0) z)
1.0ms	(fma 6.0 (* (- y x) (- (/ 2.0 3.0) z)) x)
5.0ms	(* (- y x) (- (/ 2.0 3.0) z))

series105.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (/ 2.0 3.0) z)
49.0ms	(fma 6.0 (* (- y x) (- (/ 2.0 3.0) z)) x)
37.0ms	(* (- y x) (- (/ 2.0 3.0) z))

simplify72.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	202	168
1	736	168
2	3319	166
3	5001	165

prune64.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	28	7	35

Merged error: 0.0b

Counts

35 → 7

regimes127.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	22	7
2	23	7
3	23	7

end0.0ms

sample621.0ms

Algorithm

intervals

Results

321.0ms	9368×	body	80	valid
34.0ms	270×	body	640	valid
29.0ms	152×	body	1280	valid
19.0ms	203×	body	320	valid
7.0ms	109×	body	160	valid